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Finding the Fourth Proportional to 407,151.10, 610,435.05 and 170,371.90

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Solution

The fourth proportional to 407,151.10, 610,435.05 and 170,371.90 is: 255,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,151.10 : 610,435.05 = 170,371.90 : x
  2. Step 2: Convert to fraction form
    407,151.10/610,435.05 = 170,371.90/x
  3. Step 3: Cross multiply
    407,151.10x = 610,435.05 × 170,371.90
  4. Step 4: Simplify right side
    407,151.10x = 104,000,979,295.10
  5. Step 5: Solve for x
    x = 104,000,979,295.10/407,151.10
  6. Step 6: Final answer
    x = 255,435.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.